Noncommutative differential geometry related to the Yang-Baxter equation.

DOI10.1007/BF02367232zbMath1044.58501OpenAlexW2041129220WikidataQ115392383 ScholiaQ115392383MaRDI QIDQ1808231

Andrey Radul, Vladimir Rubtsov, Dimitri Gurevich

Publication date: 5 December 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02367232

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Differential forms in global analysis (58A10) Geometry of quantum groups (58B32) Derivations, actions of Lie algebras (16W25)

Related Items (9)

Quantum Heisenberg groups and Sklyanin algebras ⋮ Unnamed Item ⋮ \(q\)-deformed Grassmann fields and the two-dimensional Ising model ⋮ Classical and exceptional root systems and quantizations ⋮ Rational forms for twistings of enveloping algebras of simple Lie algebras ⋮ Braided \(m\)-Lie algebras ⋮ Braided symmetric and exterior algebras and quantizations of braided Lie algebras ⋮ Structures of Nichols (braided) Lie algebras of diagonal type ⋮ Double quantization of \(\mathbb{C}\mathbb{P}^n\) type orbits by generalized Verma modules

Cites Work

• Compact matrix pseudogroups
• Hopf algebras and vector symmetries
• Covariant differential calculus on the quantum hyperplane
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